Distributive Axiom
The distributive axiom is a fundamental property of arithmetic that describes the relationship between addition and multiplication
The distributive axiom is a fundamental property of arithmetic that describes the relationship between addition and multiplication. It states that for any three numbers a, b, and c:
a * (b + c) = (a * b) + (a * c)
In simpler terms, the distributive axiom tells us that when multiplying a number by the sum of two other numbers, we can either multiply each number individually and then add the products, or we can add the two numbers first and then multiply the sum by the first number.
For example, let’s say we have the numbers 2, 3, and 4. Using the distributive axiom, we can calculate:
2 * (3 + 4) = (2 * 3) + (2 * 4)
2 * 7 = 6 + 8
14 = 14
The distributive axiom is an essential property in algebra, as it allows us to simplify and manipulate algebraic expressions. It forms the basis for operations such as factoring and expanding expressions, and is used extensively in solving equations and inequalities.
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